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Quantization of Kähler manifolds. IV

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Abstract

We use Berezin's dequantization procedure to define a formal *-product on the algebra of smooth functions on the bounded symmetric domains. We prove that this formal *-product is convergent on a dense subalgebra of the algebra of smooth functions.

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Authors and Affiliations

  1. Département de Mathématiques, Université Libre de Bruxelles, Campus Plaine CP 218, 1050, Bruxelles, Belgique

    Michel Cahen & Simone Gutt

  2. Département de Mathématiques, Université de Metz, Ile du Saulcy, F-57045, Metz Cedex 01, France

    Simone Gutt

  3. Mathematics Institute, University of Warwick, CV4 7 AL, Coventry, United Kingdom

    John Rawnsley

Authors
  1. Michel Cahen
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  2. Simone Gutt
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  3. John Rawnsley
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Additional information

This work was partially supported by EC contract CHRX-CT92-0050.

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Cahen, M., Gutt, S. & Rawnsley, J. Quantization of Kähler manifolds. IV. Lett Math Phys 34, 159–168 (1995). https://doi.org/10.1007/BF00739094

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  • DOI: https://doi.org/10.1007/BF00739094

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